{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "205909dd",
   "metadata": {},
   "source": [
    "#  第一讲 复杂网络基础"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d6f03c9c",
   "metadata": {},
   "outputs": [],
   "source": [
    "#!/usr/bin/python3\n",
    "# -*- coding: utf-8 -*-\n",
    "# Author ： 单哥的科研日常\n",
    "# 关注B站和公众号：单哥的科研日常，获取更多讲解教程"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e566562c-83a9-422c-8fbc-73b6162cefc3",
   "metadata": {},
   "source": [
    "### 实验环境：\n",
    "### Python版本==3.9.16\n",
    "### 依赖的第三方库：networkx==3.0, matplotlib==3.6.3, numpy==1.24.2, scipy==1.10.0\n",
    "### （1）miniconda及其python虚拟环境安装教程见：https://www.bilibili.com/video/BV1dt4y1F7e4/?vd_source=519dd7a4b1f4260ebe31140657f52698\n",
    "### （2）激活指定虚拟环境后，安装jupyter notebook，以及安装JupyterLab，详细教程见：https://www.cnblogs.com/catting123/p/16557462.html\n",
    "### （3）在Jupyter Notebook中切换不同的python虚拟环境，教程见：https://www.ycpai.cn/python/4a6d7fbU.html\n",
    "\n",
    "### 注意：针(3)一定要进入指定环境后，在执行以下命令：\n",
    "pip install ipykernel\n",
    "\n",
    "python -m ipykernel install --user --name 环境名 --display-name 环境名\n",
    "\n",
    "### 否则就会出现类似于“No module xxx”的情况。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "342ceaa0",
   "metadata": {},
   "source": [
    "### (1) 创建一个简单的图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "974326f5-a713-46e8-9779-f2d79ffe6cad",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 导入库\n",
    "import networkx as nx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "5a13d41a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 创建一个空图（不包含节点和边）\n",
    "G = nx.Graph()\n",
    "# 添加节点\n",
    "G.add_nodes_from([1,2,3,4])\n",
    "# 添加边\n",
    "G.add_edges_from([(1,2),(1,3),(2,3),(2,4)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "708f6183",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化\n",
    "nx.draw(G, node_size=500, with_labels=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ec2773a3",
   "metadata": {},
   "source": [
    "### (2) 获取图的邻接矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "8123418f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  (0, 1)\t1\n",
      "  (0, 2)\t1\n",
      "  (1, 0)\t1\n",
      "  (1, 2)\t1\n",
      "  (1, 3)\t1\n",
      "  (2, 0)\t1\n",
      "  (2, 1)\t1\n",
      "  (3, 1)\t1\n"
     ]
    }
   ],
   "source": [
    "As = nx.adjacency_matrix(G)\n",
    "print(As)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f7bd4684",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0 1 1 0]\n",
      " [1 0 1 1]\n",
      " [1 1 0 0]\n",
      " [0 1 0 0]]\n"
     ]
    }
   ],
   "source": [
    "# 转化成二维数组形式的矩阵\n",
    "A = As.todense()\n",
    "print(A)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "809dd795",
   "metadata": {},
   "source": [
    "### (3) 已知图的邻接矩阵，创建图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "48b209b1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "A = np.array([[0, 1, 1], [1, 0, 1], [1, 1, 0]])\n",
    "# G = nx.from_numpy_matrix(A) # 在3.0版中已经删除这个函数：AttributeError: module 'networkx' has no attribute 'from_numpy_matrix'\n",
    "G = nx.from_numpy_array(A)\n",
    "nx.draw(G, node_size=500, with_labels=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "155db57f",
   "metadata": {},
   "source": [
    "### (4) 加权图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "d030b3dc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0.  3.  1.5]\n",
      " [3.  0.  7.5]\n",
      " [1.5 7.5 0. ]]\n"
     ]
    }
   ],
   "source": [
    "G = nx.Graph()\n",
    "G.add_weighted_edges_from([(0, 1, 3.0), (1, 2, 7.5), (0, 2, 1.5)])\n",
    "As = nx.adjacency_matrix(G)\n",
    "print(As.todense())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e86dd0d8",
   "metadata": {},
   "source": [
    "### (5) 有向图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "5c56e67b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G = nx.DiGraph()\n",
    "# 添加节点\n",
    "G.add_nodes_from([1,2,3,4])\n",
    "# 添加边\n",
    "G.add_edges_from([(1,2),(1,3),(2,3),(3,4)])\n",
    "nx.draw(G, node_size=500, with_labels=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "de93b2c7",
   "metadata": {},
   "source": [
    "### (6) 度、平均度以及度分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "14aa6c79",
   "metadata": {},
   "outputs": [],
   "source": [
    "G = nx.Graph()\n",
    "# 添加节点\n",
    "G.add_nodes_from([1,2,3,4])\n",
    "# 添加边\n",
    "G.add_edges_from([(1,2),(2,3),(2,4),(3,4)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "56a1f5dd",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 获取网络G的度\n",
    "d = nx.degree(G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "74b891d8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{1: 1, 2: 3, 3: 2, 4: 2}\n",
      "平均度为： 2.0\n"
     ]
    }
   ],
   "source": [
    "d = dict(nx.degree(G))\n",
    "print(d)\n",
    "print(\"平均度为：\", sum(d.values())/len(G.nodes))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "89c49cb4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0, 1, 2, 1]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 获取度分布\n",
    "nx.degree_histogram(G) # 返回所有位于区间[0, dmax]的度值的频率列表"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3978aabb",
   "metadata": {},
   "source": [
    "#### 绘制度分布直方图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "af87beb4",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "a2672077",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 1, 2, 3]\n",
      "[0.0, 0.25, 0.5, 0.25]\n"
     ]
    }
   ],
   "source": [
    "x = list(range(max(d.values())+1))\n",
    "y = [i/len(G.nodes) for i in nx.degree_histogram(G)]\n",
    "print(x)\n",
    "print(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "eb99f77e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 4.0)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.bar(x, y, width=0.5, color=\"red\")\n",
    "plt.xlabel(\"$k$\", fontsize=14)\n",
    "plt.ylabel(\"$p_k$\", fontsize=14)\n",
    "plt.xlim([0,4])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1a259116",
   "metadata": {},
   "source": [
    "### (7) 路径和距离"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "4ee9f4f6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G = nx.Graph()\n",
    "G.add_nodes_from([1,2,3,4,5])\n",
    "G.add_edges_from([(1,2),(2,3),(2,5),(3,4),(4,5)])\n",
    "nx.draw(G, node_size=500, with_labels=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "451603b7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1, 2, 3, 4]"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nx.shortest_path(G, source=1, target=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "ff58be8b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[1, 2, 3, 4], [1, 2, 5, 4]]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 两个节点之间所有的最短路径\n",
    "list(nx.all_shortest_paths(G, source=1, target=4))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "a172f90b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 求两个节点的最短路径长度（距离）\n",
    "nx.shortest_path_length(G, source=1, target=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "831ec787",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.6"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 求整个网络的平均距离\n",
    "nx.average_shortest_path_length(G)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "737db4da",
   "metadata": {},
   "source": [
    "### (8) 连通性"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "758d66e7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Ga = nx.Graph()\n",
    "Ga.add_nodes_from([1,2,3,4,5,6,7])\n",
    "Ga.add_edges_from([(1,2),(1,3),(2,3),(4,7),(5,6),(5,7),(6,7)])\n",
    "nx.draw(Ga, node_size=500, with_labels=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "ae3cd7f1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Gb = nx.Graph()\n",
    "Gb.add_nodes_from([1,2,3,4,5,6,7])\n",
    "Gb.add_edges_from([(1,2),(1,3),(2,3),(2,4),(4,7),(5,6),(5,7),(6,7)])\n",
    "nx.draw(Gb, node_size=500, with_labels=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "85dcd60a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "False\n",
      "True\n"
     ]
    }
   ],
   "source": [
    "print(nx.is_connected(Ga))\n",
    "print(nx.is_connected(Gb))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "768c30d4",
   "metadata": {},
   "source": [
    "### (9) 集聚系数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "2a0feb01",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G = nx.Graph()\n",
    "G.add_nodes_from([1,2,3,4,5])\n",
    "G.add_edges_from([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)])\n",
    "nx.draw(G, node_size=500, with_labels=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "10f1fede",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0\n"
     ]
    }
   ],
   "source": [
    "print(nx.clustering(G, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "9e464684",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G.remove_edges_from([(2,4),(3,4),(3,5)])\n",
    "nx.draw(G, node_size=500, with_labels=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "c74b2f9e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.5\n"
     ]
    }
   ],
   "source": [
    "print(nx.clustering(G, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "d3f02075",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G.remove_edges_from([(2,3),(2,5),(4,5)])\n",
    "nx.draw(G, node_size=500, with_labels=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "a2ca5683",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n"
     ]
    }
   ],
   "source": [
    "print(nx.clustering(G, 1))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "77043ee1",
   "metadata": {},
   "source": [
    "#### 平均集聚系数与全局集聚系数的区别"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "723b309c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ySGV5jI2NlaWqD+Q+gS3Iqht7xOnNpT+qKqcH1evYW/U69nZ7nN8Kskg39Yjzi8cuShRKAPBJdrtde/bsUWlpqcLCwsyOA3iFYRjKzs4+Zdbx+AkHoaGhSkhIUNeuXXXbbbcpKSlJCQkJql+/fo3mGNY9Tm9882ONXvN0XJJu6F71+y19HYUSAHxQfHy8DMPQzp071bFjR7PjAB4rLy/X1q1bT7nf8ejRo5Kkxo0b65xzztGQIUNOWrIODvZ+VWkRE6GU81oqbV1OlWYpPWW1SMnntVSLmAjvD1ZLKJQA4INOPDqIQom65siRI6ccz7N169bKw/rtdruSkpI0atSoyvLYvHnzai1Z15Rx/Tvoqx8O6GBRmVdLpdUiNY4M1birOnhvEBNQKAHABzVr1kyRkZFszIFPMwxDu3fvPmXJOjs7W5IUFhamLl26qHv37rrzzjsrl6yjonxvI0pUmE0ThyRqxJTVXh3HZUgThyQqKuzPNwvVNRRKAPBBFouFo4PgU8rKyk5asj6+bJ2fny9JatKkic455xxdf/31lbOOdru9Vpasa0qv+CZ6ckAnjZ+f4bUxJgzopF7xTbx2fbPUnX/LABBg7Ha7srKyzI6BAHTo0KFTlqy3bdumiooKWSwWxcfHKzExUVdccUVleWzWrJmpS9Y1ZcQFrSRJ4+dnyGpRjSx/H7/OhAGdNPzX6/sbCiUA+Kj4+HitWLHC7BjwYy6XS7t27TqlPObk5EiSwsPD1aVLF/Xs2VP33ntv5ZJ1vXr1TE7uXSMuaKVWjepp5KxNHt9TefyeyYlDEv1yZvI4i2EYtbCfCQDgrqlTp+rmm2/WsWPHFBHhP7tBYY7S0lJlZGScsmRdWFgo6Zf7dhMTEytnHI8vWQcFBZmc3DwFpQ49s2CbUtflyCrJ6UZjCrL8cjRQSteWGte/g9/dM/lbFEoA8FErVqzQhRdeqE2bNqlLly5mx0EdcvDgwZOO5jm+ZO10OmWxWNSuXbuTimNiYqKaNWtmdmyftfdIsWaszta0VdmVT9QJtlpUccLU5Ym/jw636aYecbqhe5xfHQ30ZyiUAOCj8vLy1LRpU82cOVNDhgwxOw58kMvl0s6dO0/ZZZ2bmytJioiIqJx1PP5r586d/X7J2lscTpd+2F+ozbn52pybr7yiMpU5nAq1BalJZKgSYqOVEButds2i/OYJOFXFPZQA4KMaN26sBg0asNMbkqSSkhJt2bLlpFnHTZs2qaioSJLUvHlzJSUlacSIEZUzj23atAnoJeuaZguyqnNstDrHRusGs8P4GAolAPgoi8Uiu91OoQxABw4cOGWjTGZmplwul6xWq9q3b6+kpCRde+21SkxMVGJios444wyzYyOAUSgBwIdRKP2by+XSjh07Ttkos2/fPklSvXr1lJiYqEsuuUQPPfRQ5ZJ1eHi4ycmBk1EoAcCH2e12LV682OwYqAHFxcXasmXLSeUxPT1dx44dkyTFxsYqKSlJt9xyS+X9jm3atJHVGlj34qFuolACgA+Lj4/XgQMHVFBQoPr165sdB1X0888/nzLr+MMPP8jlcikoKKhyyXrQoEGVG2aaNPHfMwrh/yiUAODD7Ha7JGn79u3q2rWryWnwW06n85Ql640bN2r//v2SpKioKCUmJqpv37569NFHlZiYqE6dOrFkDb9DoQQAH0ah9B3Hjh3T5s2bTyqOmzdvVnFxsSSpRYsWSkpK0u233165y7p169YsWSMgUCgBwIc1aNBAjRs3ZmNOLdu/f/8ps45ZWVkyDENBQUHq2LGjkpKSlJycXLnLunHjxmbHBkxDoQQAH2e325WVlWV2DL/kdDqVlZV1Snk8cOCApF+WrJOSktSvXz/9/e9/V1JSkjp27KiwsDCTkwO+hSflAICPcjhdytxfqEefelk5xyy68NKrVF7hVEhwkJpGharzr0/laB+AT+WojqKiot9dsi4pKZEkxcXFnfQowqSkJLVq1Yola6AKKJQA4GP2HinW9NXZ+rDyucGGDKdTlqD/LSr99rnBN/aI07AAem7wnzEMQz/99NMps447duyQYRgKDg6uXLI+sUA2bNjQ7OhAnUWhBAAfUVDq0DMLtil1bY4sFsnlxruz1SIZklK6ttS4/h0UFWbzWk5fUlFRoR9++KHyaJ7j5TEvL0+SFB0dfUpx7Nixo0JDQ01ODvgXCiUA+IBlWXl6dOYmHTpW5laR/C2rRWocGaqJQxLVK96/zjUsLCxUenr6SbOOW7ZsUWlpqSTprLPOOqk8JiUl6ayzzpLFYjE5OeD/KJQAYLKpK3br8U8yZHVzVvKPHL/OkwM6acQFrTy/YC0zDEO5ubmnzDru2LFDkmSz2dSpU6eTZh0TExMVExNjcnIgcFEoAcBEH6zcrfHzM7x2fV8vlQ6Ho3LJ+sR/Dh06JOmXY5N+O+vYoUMHhYSEmJwcwIkolABgkmVZeRoxZbXXx/nglu4+sfxdUFBQOeN4/NctW7aorKxMktS6detTdlnHxcWxZA3UARRKADBBQalDfSct9fieydM5fk/lkkd619pGHcMwtHfv3lNmHXfu3ClJCgkJOWnJOikpSV26dFGDBg1qJR+AmkehBAATPDY7XWnrcrxaJo+zWqTk81rquUFdavzaDodD27ZtO6k4btq0SYcPH5YkxcTE6Jxzzjlp5rF9+/YsWQN+hkIJALUs50ixej3/tary5lv2U5aObV6i0uzNqsj/Wdbw+go9s50a9BouW8PYKo9psUjfjurj0TmV+fn5J22S2bhxozIyMlReXi5JOvvss0+537FFixYsWQMBgEIJALXs+UWZenPpj1Wancyb+4zK9m5TRPuLZGvaSs6iIypc/6mM8lI1GzFRIU1aVWnMIIt0d+82GnV5+9N+rWEYys7OPmXWcdeuXZJ+WbJOSEg4adaxS5cuio6OrlIWAP6HQgkAtcjhdOm8pxf/+gSc0yvdu02hzdvKEvS/+x8dh3O17737Va/9hWp8zcgqjx0dbtPacZee9JjG8vLyU5asN27cqKNHj0qSGjVqdMqsY7t27WSzBcbB6QCqJvj0XwIAqCmZ+wurXCYlKaxFh1M+ZmsYq5DGcXIczHFr7PwShz5c8LWO7vzf86y3bt0qh+OXPG3btlVSUpJGjhxZWR7PPPNMlqwBnBaFEgBq0ebcfI+vYRiGnMVHZWsc5/brHhj/gip+WKrOnTurW7duuuOOOyp3WUdFRXmcDUBgolACQC3akpuvYKtFFR5s7z6W8Y2chYfU4KIb3XpdkEW66cGxem3EpwoO5u0fQM2xnv5LAAA15UBhmUdl0nEoR4e/fEOhse1VL6GvW691yaIKWwRlEkCNo1ACQC0qr3BW+7XOoiM6MPOfsobWU+PrxshiDXL7GmWO6o8PAH+EH1MBoBaFBLtfAiXJVXpMP6c9LlfpMZ1x078UHNWoWtcJtVVvfAD4M8xQAkAtahoVqmCre7umjYpyHZj1pCqO5Krp0PEKcXMzznHBVouaRIZW67UA8GcolABQizrHRrt1D6Xhcipv3r9Uti9TTa57TKGxpx4jVFUVLkMJsRw+DqDmseQNALWoU3P3juY58tV7KtmxSuFtu8tZUqSiLV+f9PnIzn3cuh6FEoA3UCgBwMtcLpdWrlyptLQ0zZw1R0FDX1BQeNWKZfnPOyVJJTtWq2TH6lM+706hjA63qV0zzpoEUPMolADgBYZhaNWqVb+UyJkztXfvXp155plKHjpUroQm+vTH0io9y7vZjc/VSJ4gi3RTj7iTHrsIADWFQgkANcQwDK1du1apqamaOXOmsrOz1axZMw0ZMkTJycm68MILZbVatfdIsT55/uvTX7AGuSTd0L16m3kA4HQolADgAcMwtGHDBqWmpiotLU27d+9WkyZNKkvkxRdfrKCgk4/qaREToZTzWiptXU6VZik9ZbVIyee1VIuYCO8PBiAgWQzDqIW3MwDwH4ZhaNOmTUpLS1NaWpp+/PFHNWrUSIMHD1ZKSop69ep12qfRFJY61PfFpTpYVObVUmm1SI0jQ7Xkkd6KCrN5byAAAY1CCQBVYBiGtmzZUlkis7Ky1LBhQw0aNEjJycnq06eP2480XJaVpxFTTt1oU9M+uKW7esU38fo4AAIXhRIA/sTWrVsrl7MzMzPVoEEDDRw4UMnJyerbt69sNs9m/T5YuVvj52fUUNpTTRjQScMvaOW16wOARKEEgFNkZmZWzkRmZGSofv36uu6665ScnKzLLrtMISEhNTre8VJpkSFD7j1F5/dYLZLLoEwCqD0USgCQtH379soSmZ6ersjISF177bVKSUlRv379FBrq3UcWzv0+U3+bvlbWiGjJUv2jfY7fMzlxSCLL3ABqDYUSQMD68ccfNXPmTKWlpWnDhg2qV6+eBgwYoOTkZF1++eUKDw+vlRyGYejaa6/Vmo1bdP2/UjVv8wFZJTndeHcOsvxyNFBK15Ya178DG3AA1CoKJYCAsnv3bs2cOVOpqalat26dIiIidPXVVys5OVlXXnmlIiJq/2idDz/8UDfddJPmzp2r6667TnuPFGvG6mxNW5Wt/BKHJCnYajnpGeAn/j463KabesTphu5xHA0EwBQUSgB+Lzs7u3ImcvXq1QoLC1P//v2VnJys/v37q169eqZl279/vzp16qR+/fppxowZJ33O4XTph/2F2pybr825+corKlOZw6lQW5CaRIYqITZaCbHRatcsiifgADAVhRKAX9q7d69mzZqltLQ0rVy5UqGhobryyiuVkpKiq6++WpGRkWZHlGEYGjJkiL799ltt3bpVjRs3NjsSAFQLT8oB4Df27dun2bNnKzU1VcuXL1dISIiuuOIKTZs2Tddcc43q169vdsSTzJw5U3PmzFFaWhplEkCdxgwlgDrt559/riyR3377rYKDg9WvXz8lJydrwIABatCggdkRf1deXp46duyoXr16adasWbJYPD8uCADMQqEEUOfk5eVp9uzZSktL09KlS2W1WnXppZcqOTlZ1113nWJiYsyOeFrXX3+9vvzyS23dulVnnHGG2XEAwCMseQOoEw4ePKi5c+cqLS1NX331lSwWi/7yl7/o7bff1nXXXadGjRqZHbHK5s6dq9TUVE2bNo0yCcAvMEMJwGcdPnxY8+bNU2pqqpYsWSLDMHTJJZcoJSVFAwcOVJMmde/g7kOHDqlTp07q3r27Pv74Y5a6AfgFCiUAn3L06FF9/PHHSk1N1Zdffimn06nevXsrOTlZgwYNqvMzesOHD9enn36qjIwMnXnmmWbHAYAawZI3ANMVFBTo448/VlpamhYtWqSKigpddNFFeumllzR48GA1b97c7Ig14tNPP9W0adM0ZcoUyiQAv8IMJQBTFBYW6pNPPlFaWpoWLlyosrIy9ezZUykpKRo8eLBiY2PNjlijjh49qk6dOikxMVELFixgqRuAX6FQAqg1RUVFWrBggdLS0vTZZ5+ptLRU559/vpKTkzVkyBC1bNnS7Ihec9ttt2nmzJnKyMjw6+8TQGBiyRuAVxUXF+uzzz5TamqqFixYoJKSEnXr1k0TJkzQ0KFDddZZZ5kd0esWLVqk999/X2+//TZlEoBfYoYSQI0rKSnR559/rrS0NH3yyScqLi7Wueeeq+TkZA0dOlRnn3222RFrTUFBgTp37qx27drpiy++YKkbgF+iUAKoEaWlpVq0aJHS0tI0f/58FRUVKTExUcnJyUpOTlbbtm3NjmiKu+++W9OmTdOWLVvUqlUrs+MAgFew5A2g2srKyvTll18qLS1NH3/8sQoKCpSQkKDRo0dr6NChateundkRTfXVV1/prbfe0uTJkymTAPwaM5QA3FJeXq4lS5YoNTVV8+bNU35+vjp06KCUlBQNHTpUHTt2NDuiTygqKlJCQoJatWqlJUuWyGq1mh0JALyGGUoAp+VwOPTVV18pLS1Nc+fO1ZEjRxQfH68HH3xQycnJ6ty5s9kRfc6YMWN04MABLV68mDIJwO9RKAH8roqKCn3zzTdKS0vTnDlzdOjQIbVt21b33HOPUlJSlJCQwAaTP7Bs2TK9/vrrevnll9WmTRuz4wCA17HkDaCS0+nUsmXLlJaWptmzZysvL0+tW7dWSkqKkpOTlZSURIk8jeLiYnXp0kXNmjXTsmXLmJ0EEBCYoQQCnNPp1PLly5WWlqZZs2bp559/1llnnaWbb75ZycnJ6tq1KyXSDf/4xz+Um5urzz77jDIJIGBQKIEA5HK5tGLFisoS+dNPP6lFixa68cYblZycrO7du1Miq2HFihV6+eWX9fzzzys+Pt7sOABQa1jyBgKEy+XSqlWrlJaWppkzZyo3N1exsbEaOnSokpOT1aNHD2bUPFBSUqJzzjlHDRo00PLlyxUUFGR2JACoNcxQAn7MMAytWbNGaWlpSktLU05Ojpo1a1ZZInv27EmJrCFPPPGEdu3apQ0bNlAmAQQcCiXgZwzD0Pr165Wamqq0tDTt2bNHTZs21ZAhQ5ScnKyLLrqIwlPDVq9erYkTJ+qpp57iHE4AAYklb8APGIahTZs2VZbInTt3qnHjxho8eLCSk5PVu3dvSqSXlJWV6dxzz1V4eLi+//57BQfzczqAwMM7H1BHGYahzZs3Vy5nb9++XQ0bNtSgQYP01ltv6ZJLLqHc1IIJEyZo+/btWrduHf9/AwhYzFACdUxGRkZliczMzFSDBg00aNAgJScn6y9/+YtsNpvZEQPG+vXr1b17d40fP17jx483Ow4AmIZCCdQBmZmZlcvZW7duVXR0tK677jolJyfr0ksvVUhIiNkRA055ebm6desmi8WiNWvWUOQBBDTWZwAflZWVVTkTuXnzZkVFRenaa6/Vc889p379+ik0NNTsiAHt2Wef1datW7V69WrKJICAxwwl4EN+/PHHyhK5ceNG1atXTwMGDFBKSoouv/xyhYWFmR0RktLT09W1a1c99thjmjBhgtlxAMB0FErAZLt27dLMmTOVlpamdevWKSIiQtdcc42Sk5N15ZVXKjw83OyIOIHD4dD555+vsrIyrVu3jpliABBL3qiDHE6XMvcXanNuvrbk5utAYZnKK5wKCQ5S06hQdY6NVkJstNo3i5ItyDcP7c7OztbMmTOVmpqqNWvWKDw8XP3799fo0aN11VVXqV69emZHxB944YUXtHHjRn3//feUSQD4FTOUqDP2HinW9NXZ+nBVtvJLHJKkYKtFFa7//RE+8ffR4Tbd2CNOw7rHqUVMhCmZT5STk6NZs2YpLS2tsoxcddVVSk5O1tVXX63IyEizI+I0MjIydO655+rhhx/Wc889Z3YcAPAZFEr4vIJSh55ZsE2pa3NksUguN/7EWi2SISmla0uN699BUWG1u3li3759lSVy+fLlCgkJ0RVXXKHk5GRdc801ql+/fq3mQfVVVFTowgsvVEFBgTZs2MD9rABwApa84dOWZeXp0ZmbdOhYmQxJ7v74c7x8pq3L0Vc/HNDEIYnqFd+kxnOeaP/+/Zo9e7bS0tL07bffKjg4WJdffrk++OADDRgwQNHR0V4dH97x0ksvac2aNVq+fDllEgB+gxlK+KypK3br8U8yZHVzVvKPHL/OkwM6acQFrTy/4AkOHDigOXPmKDU1VUuXLlVQUJAuu+wyJScn69prr1VMTEyNjofa9cMPPygxMVH33XefJk2aZHYcAPA5FEr4pA9W7tb4+Rleu35NlMqDBw9qzpw5SktL09dffy2LxaK+ffsqOTlZAwcOVMOGDWsmLEzldDrVq1cvHThwQJs2bVJEhPn34wKAr2HJGz5nWVaeV8ukJI2fn6FWjeq5vfx9+PBhzZ07V2lpaVqyZIkMw1CfPn30xhtvaNCgQWrcuLGXEsMsr732mlauXKmlS5dSJgHgDzBDCZ9SUOpQ30lLdehYWY0sc/8Rq0VqHBmqJY/0Pu1GnSNHjujjjz9WamqqFi9eLKfTqd69eyslJUWDBg1S06ZNvRcUptqxY4e6dOmi22+/Xa+++qrZcQDAZ1Eo4VMem52utHU5Xi2Tx1ktUvJ5LfXcoC6nfC4/P1/z589XamqqvvjiC1VUVOjiiy9WcnKyBg8erGbNmnk/IEzlcrnUp08f5eTkaPPmzZwNCgB/giVv+IycI8VKXZujqnTJ0j3p+nnG2N/9XLPhExUa2/6013AZUuraHN3fp61axESosLBQ8+fPV1pamhYuXKjy8nJdeOGFmjhxogYPHqzY2Fg3vyPUZW+88YaWLVumr776ijIJAKdBoYTPmLE6WxaLe0cDRXW9RiHN40/6WHBM8yq/3iLp//6zUPnfTtNnn32msrIynX/++frXv/6lIUOGqEWLFlUPA7+xe/dujR49Wnfffbf69OljdhwA8HkUSvgEh9OlD1dlu73UHdqyk+q1v6ja47oMafGecjXf95OefvppDRkyRGeddVa1r4e6zzAM3XHHHWrUqJGef/55s+MAQJ1AoYRPyNxfWPk4RXe5yoplsYXKYg2q1uuDwqP0/uyF6hzLgeOQ3n33XS1evFiLFi1SVFSU2XEAoE6gUMInbM7Nr9brDn32iozyEsliVWjLTorpc6tCm9urNT6FEjk5OXr00Ud16623ql+/fmbHAYA6w2p2AECStuTmK9hqqfoLgmyKaNdTDfveoSaD/08Neg2XI2+Pfv5wtMr3/+jW2MFWS7ULLfyHYRi68847FRUVxdNwAMBNzFDCJxwoLFOFGzdQhrXooLAWHf73AXsPRbS/UD+994COLJ2qM1KerPK1KlyG8orK3IkLPzR16lQtXLhQn376qRo0aGB2HACoU5ihhE8or3B6fA1bzJkKt/dQaXa6DJd71ytzeD4+6q59+/bp4Ycf1vDhw9W/f3+z4wBAnUOhhE8ICa7ehprfCq7fWHJWyHC4N+MYaquZ8VH3GIahu+++W2FhYXr55ZfNjgMAdRJL3vAJTaNCFWy1uLXs/Xsqju6XJThElpCwKr8m2GpRk8hQj8ZF3TV9+nR98sknmjt3rho2bGh2HACok5ihhE/oHBvtVpl0Fp+6iab8550q3r5aYa3OkcVS9T/aFS5DCezwDkj79+/Xgw8+qOuvv17XXXed2XEAoM5ihhI+wd1ClzfvX7LaQhQa20HWiGg5DuaoaNNCWWyhirnkZq+Pj7rPMAzdd999CgoK0muvvWZ2HACo0yiU8Antm0UpOtxW5cPNI+LP17GMb1Swep5c5cUKiohWRHxPRV90g2wxZ7o1dnS4Te2acYB1oJk5c6bmzJmjtLQ0NW7c2Ow4AFCnWQzDnScnA97z/KJMvbn0R7cfv+iJIIt0d+82GnV5+9obFKbLy8tTx44d1bt3b82aNcvsOABQ53EPJXzGsO5xqu0fb1ySbugeV7uDwnQPPPCADMPQ5MmTzY4CAH6BQgmf0SImQinntay1P5RWi5RyXku1iImopRHhC+bOnavU1FS9+uqrOuOMM8yOAwB+gUIJn+FyuRS54ws5ig5Lhsu7gxkuNYywadxVHU7/tfAbhw4d0j333KMBAwbohhtuMDsOAPgNCiV8wt69e3XppZdq/Ji/q2/kPsmNY3+qxWLV/nkvKGPjOu+OA5/y0EMPqaysTG+++aYsFjeeHQ8A+FMUSphu9uzZ6tKli7KysrRkyRL959nRenJAJ6+O+WjvFooLOabevXvr3Xff9epY8A2ffvqppk2bppdfflnNmzc3Ow4A+BUKJUxTVFSk22+/XUOGDFHfvn2Vnp6uPn36SJJGXNCqslRaa2gi6fh1JgzopAeuSNQ333yjW2+9VXfccYfuvvtulZW597hG1B1Hjx7VXXfdpSuvvFIjRowwOw4A+B2ODYIp1qxZo2HDhumnn37Sa6+9pptvvvl3lyCXZeVp5KxNOlhU5tFxQlaL1DgyVBOHJKpXfJOTPvfuu+/qvvvuU9euXTVr1iydeaZ751jC9916662aPXu2MjIy1KJFC7PjAIDfYYYStcrpdOrZZ59Vz549FRMTow0bNuiWW275w/vZesU30eJHeiu5a0tZLL+cG+mOIItksUjJXVtqySO9TymTknT77bdr2bJl2rNnj7p27aoVK1ZU51uDj1q4cKGmTJmiSZMmUSYBwEuYoUStycnJ0fDhw7Vs2TKNGTNGTzzxhGw2W5Vfv/dIsWaszta0VdmVT9QJtlpOegb4ib+PDrfpph5xuqF7XJWOBtq/f7+GDh2qVatW6bXXXtOdd97Jxo06rqCgQJ06dVKHDh20aNEi/n0CgJdQKFEr0tLSdNdddykqKkrTpk1Tr169qn0th9OlH/YXanNuvjbn5iuvqExlDqdCbUFqEhmqhNhoJcRGq12zKNmC3JuELy8v1yOPPKLJkyfr9ttv1+uvv67Q0NBqZ4W57rrrLk2fPl1btmzRWWedZXYcAPBbFEp4VWFhoR544AFNnTpVycnJevPNNxUTE2N2rNOaMmWK7rnnHiUlJWn27NmKjY01OxLctGTJEl166aX697//rXvuucfsOADg1yiU8JpVq1Zp2LBhOnDggF5//XWNGDGiTi05rlmzRoMGDZLD4dDMmTN18cUXmx0JVVRUVKSEhAS1atVKS5YskdXK7eIA4E28y6LGOZ1OPfXUU7rwwgvVpEkTbdy4UX/961/rVJmUpG7dumndunVq166d/vKXv2jy5Mni56+64bHHHtOBAwf03nvvUSYBoBbwTosatWfPHl1yySV6/PHHNXbsWH377bdq06aN2bGqrWnTplq8eLHuvfde3X///brttttUWlpqdiz8iaVLl2ry5Ml69tlndfbZZ5sdBwACAkveqDEzZszQ3XffrZiYGE2bNk0XXXSR2ZFq1AcffKC77rpLnTt31pw5c9SyZUuzI+E3iouL1aVLFzVv3lxLly5ldhIAagnvtvBYQUGBhg8frmHDhql///7auHGj35VJSRoxYoS+++47HThwQF27dtXSpUvNjoTfGDdunHJzc/X+++9TJgGgFvGOC4+sWLFCSUlJ+vjjj/Xf//5X06dPV4MGDcyO5TVdu3bV2rVrlZCQoL59++rVV1/lvkofsXz5cr3yyit66qmnZLfbzY4DAAGFJW9US0VFhZ5++mlNmDBBPXr00LRp09S6dWuzY9WaiooKjR49Wi+++KKGDx+ut956S+Hh4WbHClglJSVKSkpSw4YN9d133ykoKMjsSAAQUJihhNt27dql3r1768knn9T//d//aenSpQFVJiUpODhYkyZN0ocffqhZs2bpoosu0p49e8yOFbAef/xx7dmzR++//z5lEgBMQKGEW6ZNm6bExET99NNP+vbbb/X4448rODjY7FimGTZsmFasWKHDhw/rvPPO09dff212pICzevVqTZo0SU888YQ6dOhgdhwACEgseaNK8vPzde+992r69OkaPny4Xn/9ddWvX9/sWD7j0KFDuv766/X111/rhRde0EMPPVTnzt2si8rKynTuuecqIiJCK1euDOgfbgDATLz74rS+++473XTTTTpy5IimT5+uG264wexIPqdRo0b6/PPPNXbsWD3yyCNau3at3nnnHUVERJgdza9NmDBB27dv1/r16ymTAGAilrzxhxwOh8aPH6/evXurZcuW2rRpE2XyTwQHB+v555/XRx99pHnz5unCCy/Url27zI7lt9avX6/nnntO//d//6fOnTubHQcAAhpL3vhdP/74o2688UatXbtWTzzxhMaMGcNmBzekp6dr4MCBOnr0qD766CNddtllZkfyK+Xl5erWrZusVqtWr14tm81mdiQACGjMUOIkhmFo6tSpSkpKUl5enpYvX65//OMflEk3denSRWvWrFG3bt10xRVX6IUXXuC8yhr07LPPauvWrZoyZQplEgB8AIUSlY4cOaIbbrhBN998swYPHqyNGzeqR48eZseqsxo2bKgFCxZo9OjR+vvf/67rr79ex44dMztWnZeenq6nnnpKY8aMUVJSktlxAABiyRu/WrZsmW666SYVFBTorbfeUkpKitmR/MqsWbN088036+yzz9bcuXPVpk0bsyPVSQ6HQ+eff77Ky8u1bt06hYSEmB0JACBmKAOew+HQuHHjdMkll6h169ZKT0+nTHrBkCFD9P3336u4uFjdunXTokWLzI5UJ73wwgvatGmTpkyZQpkEAB9CoQxg27dv14UXXqjnn39eTz/9tL766ivFxcWZHctvde7cWWvWrNH555+vK6+8Us899xz3VbohIyND//znPzVq1Cidd955ZscBAJyAJe8AZBiGpkyZogcffFDNmzfX9OnT1a1bN7NjBQyn06knnnhCTz31lIYMGaIpU6YoMjLS7Fg+raKiQhdeeKEKCwu1fv16hYWFmR0JAHACZigDzOHDh5WcnKzbbrtNKSkp2rBhA2WylgUFBWnChAmaM2eOFi5cqPPPP1/bt283O5ZPe+mll7RmzRq9//77lEkA8EHMUAaQr7/+WiNGjNCxY8f09ttva8iQIWZHCnhbt27VwIED9fPPP2v69Om66qqrzI7kc3744QclJibqvvvu06RJk8yOAwD4HcxQBoDy8nI99thj6tu3r+x2u9LT0ymTPqJjx45avXq1Lr74Yl199dV6+umn5XK5zI7lM5xOp2699Va1bNlSEyZMMDsOAOAPUCj93A8//KCePXtq0qRJeu655/Tll1+qRYsWZsfCCaKjo/Xxxx9r/Pjx+sc//qEhQ4aosLDQ7Fg+4bXXXtPKlSv1/vvv81x0APBhLHn7KcMw9O677+qhhx5SixYtNH36dHXt2tXsWDiN+fPn66abblKLFi00d+5ctWvXzuxIptmxY4e6dOmi22+/Xa+++qrZcQAAf4JC6YcOHTqkO+64Q3PnztUdd9yhl156SfXq1TM7FqooMzNTAwcO1L59+zRt2jRdc801ZkeqdS6XS3369FFOTo42b97Mn18A8HEsefuZJUuWqEuXLlq6dKnmzJmjt99+m/8Y1zHt27fXqlWr1KdPHw0YMED//Oc/A+6+yjfeeEPLli3Te++9x59fAKgDKJR+oqysTKNGjdKll16qDh06aPPmzRo4cKDZsVBN9evX15w5c/Tkk0/qn//8pwYOHKj8/HyzY9WKXbt2afTo0br77rvVp08fs+MAAKqAJW8/kJmZqWHDhmnLli169tln9fDDD8tq5WcFf7FgwQLdeOONatasmebNm6f27dubHclrDMPQZZddpu3bt2vLli2KiooyOxIAoApoHXWYYRh66623dO6556qkpESrVq3So48+Spn0M/3799eaNWsUFBSk7t27a968eWZH8pp33nlHS5Ys0TvvvEOZBIA6hOZRR+Xl5em6667T3Xffrb/+9a9at26dzjnnHLNjwUvsdru+//579evXTwMHDtT48eP97r7K7OxsjRw5Urfddpv69etndhwAgBtY8q6DvvjiC/31r39VRUWF3nvvPQ0YMMDsSKglhmHoueee07hx43TVVVdp2rRpatCggdmxPGYYhq688kpt2bJFGRkZio6ONjsSAMANzFDWIWVlZXrkkUd0+eWXq0uXLkpPT6dMBhiLxaIxY8bos88+0/Lly9W9e3dt3brV7Fge+89//qNFixbp7bffpkwCQB3EDGUdsXXrVt1www3KzMzUv/71Lz344IPcKxngfvzxR1133XXavXu3pk6dqkGDBpkdqVpyc3PVqVMnXXvttZo6darZcQAA1UAj8XGGYejf//63unbtqoqKCq1evVoPPfQQZRJq06aNVq5cqauuukqDBw/WuHHj5HQ6zY7lFsMwdPfddys8PFwvvfSS2XEAANUUbHYA/LEDBw7o1ltv1YIFC3T//ffr+eefV3h4uNmx4EMiIyP10UcfqWvXrhozZozWr1+v6dOnKyYmxuxoVfLhhx/q008/1bx589SwYUOz4wAAqoklbx+1cOFC3XzzzXK5XJoyZYr69+9vdiT4uC+++ELXX3+9YmJiNG/ePCUkJJgd6U/t379fHTt21BVXXKHp06ebHQcA4AHWTX1MaWmp/va3v+nKK6/Uueeeq82bN1MmUSX9+vXT2rVrFRkZqfPPP19paWlmR/pDhmHo3nvvlc1m06uvvmp2HACAhyiUPmTLli3q1q2b3nrrLb3yyitasGCBzjjjDLNjoQ45++yztWLFCl177bVKSUnR6NGjffK+yrS0NM2dO1eTJ09W48aNzY4DAPAQS94+wDAMvf766xo1apTsdrumT5/u88uV8G2GYeill17SqFGj1LdvX82YMUONGjUyO5akXw7l79ixoy655BLNnDnT7DgAgBpAoTTZzz//rJtvvlkLFy7Ugw8+qOeee46NN6gxS5YsUUpKiurXr6+5c+cqMTHR7Ei6/vrrtXjxYm3dulVNmzY1Ow4AoAaw5G2iBQsWKCEhQRs2bNBnn32mV155hTKJGtW3b1+tXbtW0dHRuuCCCzRjxgxT88ydO1epqal67bXXKJMA4EcolCYoKSnR/fffr6uvvlrdu3dXenq6rrzySrNjwU+1atVKy5cv16BBgzRs2DCNHDlSFRUVtZ7j0KFDuueee3Tttdfq+uuvr/XxAQDew5J3Ldu0aZOGDRumnTt3auLEibr33ntlsVjMjoUAYBiGXn31VT366KPq3bu3UlNTq7UhxuF0KXN/oTbn5mtLbr4OFJapvMKpkOAgNY0KVefYaCXERqt9syjZgv73M+vw4cO1YMECZWRkqHnz5jX5rQEATEahrCUul0uvvPKKHnvsMbVv317Tp09Xp06dzI6FAPTNN99o6NChqlevnubMmaNzzz23Sq/be6RY01dn68NV2covcUiSgq0WVbj+9xZy4u+jw226sUechnWP08blX+maa67R1KlTNWLEiJr/pgAApqJQ1oKffvpJN998s7744gs9/PDDeuaZZxQWFmZ2LASw7OxsDRo0SBkZGXrnnXd00003/eHXFpQ69MyCbUpdmyOLRXK58Y5htUiGITmzvlXH8kx9Pn8uM/IA4Ie4h9LL5s+fry5duig9PV2LFi3Siy++SJmE6eLi4vTtt98qOTlZw4cP18MPPyyHw3HK1y3LylPfSUuVti5Hhtwrk/r16w1JlrY9ldf9Hn27/WCN5AcA+BYKpZcUFxdXbkDo2bOn0tPT1a9fP7NjAZXCw8P1n//8R6+99ppef/119evXTwcOHKj8/NQVuzViymodOlbmdpH8LYs1SEdKKjRiymp9sHK3ZxcDAPicgFzyru6mgqrasGGDhg0bpj179ujFF1/UXXfdxTIffNqyZcs0dOhQhYaGas6cOdrqaKzx8zO8Nt6TAzppxAWtvHZ9AEDtCqhC6cmmghYxEae9vsvl0osvvqixY8eqU6dOmj59ujp06OCdbwaoYXv37tXgwYO17YjUcPB4r4/3wS3d1Su+idfHAQB4X0AUSo83FUhK6dpS4/p3UFSY7Xe/bt++ffrrX/+qxYsXa+TIkXrqqacUGhpaM98AUEvyjhbpwmcWqswSIos1yGvjWC1S48hQLXmk9x/+nQIA1B1+fw9ljWwqMKS0dTnq++JSLcvKO+Vr5s2bp4SEBG3dulVffvmlXnjhBcok6qRJS3aqIjjcq2VS+uXv1cGiMj392TavjgMAqB1+XShrclPB8f8Anrip4NixY7rrrrs0cOBA9erVS+np6br00ks9Dw6YIOdIsVLX5lTr70r+ilTtee5q7Xv33iq/xmVIqWtztPdIsfsDAgB8it8Wyg9W7tbjn/yyqcDTMnnc8euMn5+hp1KX6dxzz9W0adP09ttva86cOWrUqFHNDASYYMbqbFVn71hFwUHlr0yTxeb+cVjWX8cFANRtflkol2XleXWHqiS9u7FQoWclaf369brjjjvYxY06zeF06cNV2dX64evI1+8p9Mx2CmnW1u3XOg1p2qpsOZwu9wcGAPgMvyuUBaUOPTpzk6ze7neGodDet+vMs8728kCA92XuL6w8+cAdpdlbVJy5XDF976z22PklDv2wv7DarwcAmM/vCuUzC7bVyD2Tp2Wx6NCxcjYVwC9szs13+zWGy6nDX76pyMR+CmnaqtbHBwD4jmCzA9Sk45sKqtIlD376ko5tWfKHn4+97z8Kjmr8p9c4vqng/j5tq3ROJeCrtuTmn3Im6+kUbfhcFQV5OuOGpz0aO9hq0ebcfN3g0VUAAGbyq0J5fFNBVU7WjDrnCoW1SvrNRw0dXjRZwdFnnLZMHnd8U8Goy9u7GxfwGQcKy9wqk86SAh399kM16JmioIhoj8aucBnKKyrz6BoAAHP5TaF0d1NBaGwHhcae/BSb0pwMGY4y1et4SZXHPb6p4KFL46v1mEb4L6fTKYfDofLy8mr/6slr3RkjpN/DssUlVvl7O7rsv7KGRyrqvGtq5P+rMoezRq4DADCH3xTK6m4qONGxrUslWVSvY2+3Xnd8U0HnWM9manAqwzBUUVHh84Xs9z7nctXczuWQkBCFhITIZrO59WtUVFSVvu6L0rO122FIOv1uNsfhXBVtXKSYvnfIWXj4f/+unA4ZLqcqjv4sS2iEgsKjqvz9hdq8e5A6AMC7/KZQenpTv+GsUHHmdwpt0UHBDc6o1vi+XChdLpccDkedKGK//bWmBAUFnbZY/dHHIiMj3S5z1f31tx8LCgry+rFURXM3a+/anCotezsLD0mGS0cWv6Uji9865fO5b96mqPMGqOGlVdv5HWy1qEkkT5YCgLrMbwpldTYVnKhk13q5SgrcWu4+LsgqLd+WrcTIIp8qYif+6nTW3JJidYtSRESEGjRo4FaZq8lfrVZuSfgjnWOjNb2KB4zbmpylJoPGnfLxo8v+K1d5iRpeeqeCGzSv8tgVLkMJPvzDGADg9PymULq7qeC3jm1dKlmDFdHhIrdfW+E0lDZ/oSbfXPXdrhaL5ZQSVdViFBERUWuzY7/9NTg4mEPc/ZA7hS4oIloR8Rec8vGCNR9L0u9+ribHBwD4Hr8plOUV1Z+Bc5WXqGT79wpvfY6Cwuu7/XqLxaLuF1yksY8ur3J5CwrinjH4jvbNohQdbvP4PuTqiA63qV2zqt9vCQDwPX5TKEOCq1/QirO+/2V3d6dLqn2N5mc0Vs+e51X79YCZbEFW3dgjTm8u/bHaDwVoduNzbr8myCLd1COOExIAoI7zm3fxplGhCq7m8xaPbf1GlpBwhdt7VOv1bCqAPxjWPa5KZ7jWJJekG7rH1e6gAIAa5zeFsnNsdLXuoXQW56t090ZF2M+X1RZWrbHZVAB/0CImQinntVQ1fy5zm9UipZzXkqdMAYAf8JtCWd1Cd2zbMsnl9Gi525PxAV8yrn8HNY4M9XqptFqkxpGhGndVh9N/MQDA5/lNoTy+qcBdxzK+kTWiwe88hrHq2FQAfxEVZtPEIYnVvo+yqlyGNHFIoqLC3P87CwDwPX5TKI9vKnB3ZqX5iElq+eA0WazV29TDpgL4m17xTfTkgE5eHWPCgE7qFd/Eq2MAAGqPX7UgNhUANWPEBa0qS2VNLX8fv86EAZ00/IJWNXNRAIBP8KtCyaYCoOaMuKCVPrile43cU3n8nskPbulOmQQAP2QxjNqe0/OuwlKH+r64VAeLyrx6H9jx/0AueaQ394HBrxWUOvTMgm1KXZcjqySnG3+vDJdTVmuQUs5rqXH9O/B3BQD8lN8VSklalpWnEVNWe32cD27pzn1gCBh7jxRrxupsTVuVXflEnWCr5aTjuk78fXRYsI6sma+eZxj66L1/m5IZAFA7/LJQStIHK3dr/PwMr12f+8AQqBxOl37YX6jNufnanJuvvKIylTmcCrUFqUlkqBJio5UQG612zaI0+bVXNXLkSO3YsUOtWrUyOzoAwEv8tlBK/yuVVotqZPn7+HUok0DVHDt2TGeddZauv/56vf7662bHAQB4iV9tyvktNhUA5qpXr54eeughvfvuu9q/f7/ZcQAAXuLXM5THebKpIMjyy9FAKV3ZVABUx5EjR3TWWWfp3nvv1XPPPWd2HACAFwREoTzO7U0F4Tbd1CNON3SP42ggwANjxozR5MmTtWfPHsXExJgdBwBQwwKqUB7nzqYCnoADeO7nn39Wq1atNG7cOP3jH/8wOw4AoIYFZKEEUPseeOABzZgxQ7t371ZkZKTZcQAANYjpNwC1YuTIkcrPz9c777xjdhQAQA1jhhJArbnlllv0xRdfaOfOnQoNDTU7DgCghjBDCaDWjB49Wj/99JM++OADs6MAAGoQM5QAatXQoUO1YcMGZWZmKjg42Ow4AIAawAwlgFo1ZswY/fjjj5o5c6bZUQAANYQZSgC17sorr9TevXu1adMmWa38XAsAdR3v5ABq3dixY7VlyxYtWLDA7CgAgBrADCUAU1x88cVyOBxauXKlLBaL2XEAAB5ghhKAKcaOHatVq1bpm2++MTsKAMBDzFACMIVhGDr33HPVuHFjffnll2bHAQB4gBlKAKawWCwaO3asFi9erNWrV5sdBwDgAWYoAZjG6XSqY8eO6tixo+bOnWt2HABANTFDCcA0QUFBeuyxxzRv3jxlZGSYHQcAUE3MUAIwVXl5udq2bavevXvrv//9r9lxAADVwAwlAFOFhIRo1KhRmjFjhnbu3Gl2HABANTBDCcB0xcXFatWqlQYPHqw33njD7DgAADcxQwnAdBEREXr44Yf1/vvv66effjI7DgDATRRKAD7h3nvvVVhYmF588UWzowAA3EShBOAToqOjdf/99+uNN97Q4cOHzY4DAHADhRKAz/jb3/4ml8ul1157zewoAAA3UCgB+IymTZvqjjvu0CuvvKLCwkKz4wAAqohCCcCnjBw5UoWFhXr77bfNjgIAqCKODQLgc2677TZ9/vnn2rlzp8LCwsyOAwA4DWYoAfic0aNHa//+/Zo6darZUQAAVcAMJQCflJKSojVr1igrK0vBwcFmxwEA/AlmKAH4pDFjxmjXrl1KTU01OwoA4DSYoQTgs/r37689e/YoPT1dVis//wKAr+IdGoDPGjt2rDIyMvTJJ5+YHQUA8CeYoQTg03r37q3S0lJ9//33slgsZscBAPwOZigB+LSxY8dq9erV+uqrr8yOAgD4A8xQAvBphmGoW7duio6O1pIlS8yOAwD4HcxQAvBpFotFY8eO1VdffaXvv//e7DgAgN/BDCUAn+dyudSpUyfZ7XbNnz/f7DgAgN9ghhKAz7NarRozZow++eQTpaenmx0HAPAbzFACqBMcDofsdrt69uyp6dOnmx0HAHACZigB1Ak2m01///vflZqaqh07dpgdBwBwAmYoAdQZJSUlat26tQYMGKC3337b7DgAgF8xQwmgzggPD9cjjzyi//znP8rNzTU7DgDgVxRKAHXK3XffrXr16mnSpElmRwEA/IpCCaBOqV+/vh544AG99dZbOnjwoNlxAACiUAKogx588EFJ0quvvmpyEgCARKEEUAc1btxYd911l1577TUVFBSYHQcAAh6FEkCd9Oijj+rYsWN68803zY4CAAGPY4MA1Fl33nmn5s+fr127dik8PNzsOAAQsJihBFBn/f3vf1deXp6mTJlidhQACGjMUAKo04YNG6YVK1Zo+/btstlsZscBgIDEDCWAOu2xxx7Tnj17NGPGDLOjAEDAYoYSQJ03YMAAbd++XRkZGbJa+TkZAGob77wA6ryxY8cqMzNT8+bNMzsKAAQkZigB+IW//OUvKigo0Jo1a2SxWMyOAwABhRlKAH5h7NixWrdunb788kuzowBAwGGGEoBfMAxDPXr0UEREhL755huz4wBAQGGGEoBfsFgsGjt2rJYuXarly5ebHQcAAgozlAD8hsvlUkJCglq3bq1PP/3U7DgAEDCYoQTgN6xWq8aMGaMFCxZo48aNZscBgIDBDCUAv1JRUSG73a4ePXroo48+MjsOAAQEZigB+JXg4GCNHj1aaWlpysrKMjsOAAQEZigB+J3S0lK1bt1a/fv317vvvmt2HADwe8xQAvA7YWFhevTRR/XBBx8oJyfH7DgA4PcolAD80l133aXIyEhNmjTJ7CgA4PcolAD8UlRUlB588EG9/fbbysvLMzsOAPg1CiUAv/XAAw/IarXqlVdeMTsKAPg1CiUAv9WoUSPdc889ev3115Wfn292HADwWxRKAH7tkUceUUlJif7973+bHQUA/BbHBgHwe/fcc49mz56t3bt3KyIiwuw4AOB3mKEE4PdGjRqlw4cP67333jM7CgD4JWYoAQSE4cOHa+nSpdqxY4dCQkLMjgMAfoUZSgAB4bHHHlNOTo4+/PBDs6MAgN9hhhJAwBg4cKC2bt2qrVu3KigoyOw4AOA3mKEEEDDGjBmjrKwszZkzx+woAOBXmKEEEFAuu+wyHTx4UOvXr5fFYjE7DgD4BWYoAQSUsWPHauPGjVq4cKHZUQDAbzBDCSCgGIahnj17Kjg4WN9++63ZcQDALzBDCSCgWCwWjR07Vt999x2FEgBqCDOUAAKOy+VSUlKSYmNj9fnnn5sdBwDqPGYoAQQcq9WqMWPGaOHChVq/fr3ZcQCgzmOGEkBAqqioUPv27XXOOedo5syZZscBgDqNGUoAASk4OFijR4/W7NmzlZmZaXYcAKjTmKEEELDKysp09tlnq1+/fpoyZYrZcQCgzmKGEkDACg0N1ciRIzVt2jTt2bPH7DgAUGdRKAEEtDvuuEPR0dGaOHGi2VEAoM6iUAIIaJGRkfrb3/6md999Vz///LPZcQCgTqJQAgh4999/v4KDg/Xyyy+bHQUA6iQKJYCAFxMTo3vvvVeTJ0/W0aNHzY4DAHUOhRIAJD388MMqLy/X5MmTzY4CAHUOxwYBwK/uu+8+paWlaffu3apXr57ZcQCgzmCGEgB+NWrUKB05ckTvvvuu2VEAoE5hhhIATvDXv/5VS5Ys0c6dOxUSEmJ2HACoE5ihBIATPPbYY9q3b5/++9//mh0FAOoMZigB4DcGDx6s9PR0ZWZmKigoSA6nS5n7C7U5N19bcvN1oLBM5RVOhQQHqWlUqDrHRishNlrtm0XJFsTP6QACD4USAH5j7dq16tatm974IFUFTbvow1XZyi9xSJKCrRZVuP73tnni76PDbbqxR5yGdY9Ti5gIU7IDgBkolADwGwWlDl38wIvKb9RJVqtFLjfeJa0WyZCU0rWlxvXvoKgwm9dyAoCvoFACwAmWZeXp0ZmbdLCoTJ68OVotUuPIUE0ckqhe8U1qLB8A+CIKJQD8auqK3Xr8kwxZLXJrVvKPHL/OkwM6acQFrTy/IAD4KAolAEj6YOVujZ+f4bXrUyoB+DO2IwIIeMuy8rxaJiVp/PwMLcvK8+oYAGAWCiWAgFZQ6tCjMzfJavHuOFaLNHLWJhWWOrw7EACYgEIJIKA9s2CbDh0rq5F7Jv+My5AOFpXp6c+2eXcgADAB91ACCFg5R4rV6/mv3drNXbZ/h/K/m66yvVtlVDgU3OAMRSZdofrnDajS6y0W6dtRfTinEoBfYYYSQMCasTpbFjeWukt2rdf+/46Uszhf0T2vV8yldyi8bXc5Cw9W+RrWX8cFAH/CDCWAgORwunTe04srn4BzOq6yYuW+fadCYzuoycAxsliq//N4dLhNa8ddymMaAfgN3s0ABKTM/YVVLpOSdGzrN3IdO6qYXiNksVjlKi+VYbiqNXZ+iUM/7C+s1msBwBcFmx0AAMywOTffra8v3b1RltAIVRQd0oE5T6nicK4stjDV69xHDfveIUtwiNvjd46Ndus1AOCrmKEEEJC25OYr2I2zghyH90kup/JmT1B463PVZOBYRXa5TEUbPtfBBS+7NXaw1eJ2oQUAX8YMJYCAdKCwTBVunBVkOEplOMoUec6VanjZXZKkiHY9ZTgdKtq4UI6Lb5StYWyVrlXhMpRXVFat3ADgi5ihBBCQyiucbn398SXteh16n/Txeh0vkSSV5Wa6db0yh3vjA4Avo1ACCEghwUFufX1QZKNffq3X4OSP1/vlPkhXaZFb1wu1uTc+APgyCiWAgNQ0KtSteyhDmrWRJFUUHjrp4xWFhyVJQRFV32ATbLWoSWRolb8eAHwdhRJAQOocG+3WPZT12l8sSSpK/+KkjxelfyFZgxQal1Dla1W4DCWwwxuAH2FTDoCA5G6hC2nWRvW6XKZj6V8qz+VSWFxnlWZvVnHmd6p/wVAFRzXy6vgA4MsolAACUvtmUYoOt7l1uHmjy+9TcP0mKkpfrOKslQqObqKYvneofrdr3Ro7Otymds2i3I0MAD6LRy8CCFjPL8rUm0t/lBsr3x4Lskh3926jUZe3r71BAcDLuIcSQMAa1j1Otf0jtUvSDd3jandQAPAyCiWAgNUiJkIp57WUG5u9PWK1SCnntVSLmIjaGRAAagmFEkBAG9e/gxpHhnq9VFotUuPIUI27qoN3BwIAE1AoAQS0qDCbJg5J9Pp9lC5DmjgkUVFhNu8OBAAmoFACCHi94pvoyQGdvDrGhAGd1Cu+iVfHAACzUCgBQNKIC1pVlsqaWv4+fp0JAzpp+AWtauaiAOCDODYIAE6wLCtPI2dt0sGiMo+WwY/fMzlxSCIzkwD8HoUSAH6joNShZxZsU+q6HFklOd14lwyy/HI0UErXlhrXvwP3TAIICBRKAPgDe48Ua8bqbE1blV35RJ1gq+WkZ4Cf+PvocJtu6hGnG7rHcTQQgIBCoQSA03A4Xfphf6E25+Zrc26+8orKVOZwKtQWpCaRoUqIjVZCbLTaNYuSLYhb0wEEHgolAAAAPMKP0gAAAPAIhRIAAAAeoVACAADAIxRKAAAAeIRCCQAAAI9QKAEAAOARCiUAAAA8QqEEAACARyiUAAAA8AiFEgAAAB6hUAIAAMAjFEoAAAB4hEIJAAAAj1AoAQAA4BEKJQAAADxCoQQAAIBHKJQAAADwCIUSAAAAHqFQAgAAwCMUSgAAAHiEQgkAAACPUCgBAADgEQolAAAAPEKhBAAAgEcolAAAAPAIhRIAAAAeoVACAADAIxRKAAAAeIRCCQAAAI9QKAEAAOARCiUAAAA8QqEEAACARyiUAAAA8AiFEgAAAB75fwgU6T0ikWFFAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G = nx.Graph()\n",
    "G.add_nodes_from([1,2,3,4,5,6,7])\n",
    "G.add_edges_from([(1,2),(2,3),(2,4),(2,5),(4,5),(4,6),(4,7),(5,7)])\n",
    "nx.draw(G, node_size=500, with_labels=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "3f82de3d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.3095238095238095\n"
     ]
    }
   ],
   "source": [
    "# 平均集聚系数\n",
    "print(nx.average_clustering(G))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "7a818eeb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.375\n"
     ]
    }
   ],
   "source": [
    "# 全局集聚系数\n",
    "print(nx.transitivity(G))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4d0284e2",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "complex_network_two",
   "language": "python",
   "name": "complex_network_two"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
